Step-by-step explanation:
(a×b^-3×c^-3)⁵ / (a^-3×b⁴×c⁴)^-5
let's look at the numerator (the top) first :
a⁵×b^-15×c^-15
and now the denominator (the bottom) :
a¹⁵×b^-20×c^-20
both divided are (due to the commutative rules of multiplication we can split this first into the parts of the individual variables, and then multiply them all with each other) :
a⁵/a¹⁵ = 1/a¹⁰
b^-15 / b^-20 = b^(-15 ‐ -20) = b⁵
c^-15 / c^-20 = c⁵
so we get as result :
b⁵c⁵/a¹⁰
Answer:
O Sin (53) = 21/29
O Sin (37) = 20/29
Step-by-step explanation:
In a triangle, the sine is opposite over hypotenuse, the cosine is adjacent over hypotenuse, and the tangent is opposite over adjacent.
Answer:
33y+16
Step-by-step explanation:
Break apart the problem:
-4(-4-7y)=16+28y
5y+16+28y=33y+16 (Add like terms)
Answer:
The lengths of time that his mom reads are typically longer and have more variability than the lengths of time that his dad reads.
Step-by-step explanation:
The Mom's plot is longer in ranges, therefore, she would have more variability than the dad.
Answer:
25 pages
Step-by-step explanation:
Create a proportion:
= 
= 
Cross multiply and solve for x, the number of pages in 75 minutes:
60x = 1500
x = 25
So, he can read 25 pages in 75 minutes at the same rate
